2021-06-15 07:49:18 +00:00
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---
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id: 5900f4801000cf542c50ff93
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2021-09-03 08:11:45 +00:00
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title: 'Problema 276: Triângulos primitivos'
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2021-06-15 07:49:18 +00:00
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challengeType: 5
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forumTopicId: 301926
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dashedName: problem-276-primitive-triangles
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---
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# --description--
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2021-09-03 08:11:45 +00:00
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Considere os triângulos com os lados inteiros $a$, $b$ e $c$ com $a ≤ b ≤ c$.
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2021-06-15 07:49:18 +00:00
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2021-09-03 08:11:45 +00:00
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Um triângulo que tem seus lados sendo números inteiros $(a,b,c)$ é chamado primitivo se $gcd(a,b,c) = 1$.
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2021-06-15 07:49:18 +00:00
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2021-09-03 08:11:45 +00:00
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Quantos triângulos primitivos (com os lados sendo números inteiros) existem com um perímetro que não excede $10\\,000\\,000$?
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# --hints--
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2021-09-03 08:11:45 +00:00
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`primitiveTriangles()` deve retornar `5777137137739633000`.
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2021-06-15 07:49:18 +00:00
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```js
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assert.strictEqual(primitiveTriangles(), 5777137137739633000);
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2021-06-15 07:49:18 +00:00
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```
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# --seed--
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## --seed-contents--
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```js
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function primitiveTriangles() {
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return true;
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}
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2021-09-03 08:11:45 +00:00
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primitiveTriangles();
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2021-06-15 07:49:18 +00:00
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```
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# --solutions--
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```js
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// solution required
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```
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